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minus identity MCQ Questions for Class 9

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14 questions tagged with minus identity.

Question 1/14 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

\( 998^2 \) का मान ( (1000-2)2 ) से क्या होगा?

What is the value of \( 998^2 \) using ( (1000-2)2 )?

Explanation opens after your attempt
Correct Answer

A. (996004)

Step 1

Concept

( (1000-2)2=1000000-4000+4=996004 ). Exam tip: keep the subtracted middle term correct.

Step 2

Why this answer is correct

The correct answer is A. (996004). ( (1000-2)2=1000000-4000+4=996004 ). Exam tip: keep the subtracted middle term correct.

Step 3

Exam Tip

( (1000-2)2=1000000-4000+4=996004 ) है। परीक्षा में घटने वाले मध्य पद को सही रखें।

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Question 2/14 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

\( 997^2 \) को पहचान से निकालने के लिए सबसे उपयुक्त रूप कौन-सा है?

Which form is most suitable for finding \( 997^2 \) using an identity?

Explanation opens after your attempt
Correct Answer

A. ( (1000-3)2 )सही रूप

Step 1

Concept

Since (997=1000-3), the square of difference identity is useful. Exam tip: choose a nearby base.

Step 2

Why this answer is correct

The correct answer is A. ( (1000-3)2 ) / सही रूप. Since (997=1000-3), the square of difference identity is useful. Exam tip: choose a nearby base.

Step 3

Exam Tip

(997=1000-3) इसलिए घटाव के वर्ग की पहचान उपयोगी है। परीक्षा में निकट आधार चुनें।

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Question 3/14 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

\( 9x^2-30x+25 \) किसका पूर्ण वर्ग है?

\( 9x^2-30x+25 \) is the perfect square of what?

Explanation opens after your attempt
Correct Answer

C. ( (3x-5)2 )

Step 1

Concept

(9x-2=(3x)2) and \(25=5^2\). The middle term is negative, so ( (3x-5)2 ) is correct.

Step 2

Why this answer is correct

The correct answer is C. ( (3x-5)2 ). (9x-2=(3x)2) and \(25=5^2\). The middle term is negative, so ( (3x-5)2 ) is correct.

Step 3

Exam Tip

(9x-2=(3x)2) और \(25=5^2\) है। बीच का पद ऋणात्मक है इसलिए ( (3x-5)2 ) सही है।

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Question 4/14 Hard Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

\( 299^2 \) को ( (300-1)2 ) से निकालने पर मान क्या होगा?

Using ( (300-1)2 ), what is the value of \( 299^2 \)?

Explanation opens after your attempt
Correct Answer

A. (89401)सही मान

Step 1

Concept

\(299^2=90000-600+1=89401\). Exam tip: subtract \(2\cdot300\cdot1\).

Step 2

Why this answer is correct

The correct answer is A. (89401) / सही मान. \(299^2=90000-600+1=89401\). Exam tip: subtract \(2\cdot300\cdot1\).

Step 3

Exam Tip

\(299^2=90000-600+1=89401\) है। परीक्षा में \(2\cdot300\cdot1\) घटाएँ।

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Question 5/14 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 64

\( 197^2 \) का मान पहचान से क्या होगा?

What is the value of \( 197^2 \) using an identity?

Explanation opens after your attempt
Correct Answer

A. (38809)

Step 1

Concept

(197=200-3), so ( (200-3)2=40000-1200+9=38809 ). Exam tip: subtract the middle term in ( (a-b)2 ).

Step 2

Why this answer is correct

The correct answer is A. (38809). (197=200-3), so ( (200-3)2=40000-1200+9=38809 ). Exam tip: subtract the middle term in ( (a-b)2 ).

Step 3

Exam Tip

(197=200-3) इसलिए ( (200-3)2=40000-1200+9=38809 )। परीक्षा में ( (a-b)2 ) में मध्य पद घटाएँ।

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Question 6/14 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

\( 16y^2-40y+25 \) किसका वर्ग है?

\( 16y^2-40y+25 \) is the square of what?

Explanation opens after your attempt
Correct Answer

C. ( (4y-5)2 )

Step 1

Concept

(16y-2=(4y)2) and \(25=5^2\). The negative middle term makes it ( (4y-5)2 ).

Step 2

Why this answer is correct

The correct answer is C. ( (4y-5)2 ). (16y-2=(4y)2) and \(25=5^2\). The negative middle term makes it ( (4y-5)2 ).

Step 3

Exam Tip

(16y-2=(4y)2) और \(25=5^2\) है। ऋणात्मक बीच का पद इसे ( (4y-5)2 ) बनाता है।

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Question 7/14 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 63

\( 49^2 \) निकालने के लिए (49) को किस रूप में लिखना सबसे सरल है?

To calculate \(49^2\), writing (49) in which form is simplest?

Explanation opens after your attempt
Correct Answer

C. (50-1)

Step 1

Concept

Writing (49=50-1) makes use of ( (a-b)2 ) easy. Exam tip: take a nearby round number.

Step 2

Why this answer is correct

The correct answer is C. (50-1). Writing (49=50-1) makes use of ( (a-b)2 ) easy. Exam tip: take a nearby round number.

Step 3

Exam Tip

(49=50-1) लिखने से ( (a-b)2 ) का उपयोग आसान होता है। परीक्षा में नजदीकी गोल संख्या लें।

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Question 8/14 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 62

\( 999^2 \) को किस रूप में निकालना सबसे आसान है?

Which form is easiest for finding \( 999^2 \)?

Explanation opens after your attempt
Correct Answer

B. ( (1000-1)2 )सही रूप

Step 1

Concept

Since (999=1000-1), use the square of difference identity. Exam tip: take nearby base (1000).

Step 2

Why this answer is correct

The correct answer is B. ( (1000-1)2 ) / सही रूप. Since (999=1000-1), use the square of difference identity. Exam tip: take nearby base (1000).

Step 3

Exam Tip

(999=1000-1) इसलिए घटाव के वर्ग की पहचान लगाएँ। परीक्षा में निकट आधार (1000) लें।

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Question 9/14 Medium Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 62

\( 97^2 \) का मान ( (100-3)2 ) से क्या होगा?

What is the value of \( 97^2 \) using ( (100-3)2 )?

Explanation opens after your attempt
Correct Answer

A. (9409)

Step 1

Concept

\(97^2=10000-600+9=9409\). Exam tip: note the negative middle term.

Step 2

Why this answer is correct

The correct answer is A. (9409). \(97^2=10000-600+9=9409\). Exam tip: note the negative middle term.

Step 3

Exam Tip

\(97^2=10000-600+9=9409\) है। परीक्षा में घटाव वाले मध्य पद पर ध्यान दें।

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Question 10/14 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 67

\( k^2-20k+100 \) किसका वर्ग है?

\( k^2-20k+100 \) is the square of what?

Explanation opens after your attempt
Correct Answer

B. ( (k-10)2 )

Step 1

Concept

\(100=10^2\) and the middle term is \(-20k=-2\times k\times10\). Exam tip: identify the negative middle term.

Step 2

Why this answer is correct

The correct answer is B. ( (k-10)2 ). \(100=10^2\) and the middle term is \(-20k=-2\times k\times10\). Exam tip: identify the negative middle term.

Step 3

Exam Tip

\(100=10^2\) और बीच का पद \(-20k=-2\times k\times10\) है। परीक्षा में ऋणात्मक बीच का पद पहचानें।

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Question 11/14 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 67

\( 49^2 \) को ( (50-1)2 ) से निकालिए।

Find \( 49^2 \) using ( (50-1)2 ).

Explanation opens after your attempt
Correct Answer

A. (2401)

Step 1

Concept

( (50-1)2=2500-100+1=2401 ). Exam tip: the middle term is subtracted in ( (a-b)2 ).

Step 2

Why this answer is correct

The correct answer is A. (2401). ( (50-1)2=2500-100+1=2401 ). Exam tip: the middle term is subtracted in ( (a-b)2 ).

Step 3

Exam Tip

( (50-1)2=2500-100+1=2401 )। परीक्षा में ( (a-b)2 ) में बीच का पद घटता है।

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Question 12/14 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

( (p-5q)2 ) का सही प्रसार चुनिए।

Choose the correct expansion of ( (p-5q)2 ).

Explanation opens after your attempt
Correct Answer

B. \(p^2-10pq+25q^2\)

Step 1

Concept

The middle term is \(-2\cdot p\cdot5q=-10pq\). Exam tip: write the square of (5q) as \(25q^2\).

Step 2

Why this answer is correct

The correct answer is B. \(p^2-10pq+25q^2\). The middle term is \(-2\cdot p\cdot5q=-10pq\). Exam tip: write the square of (5q) as \(25q^2\).

Step 3

Exam Tip

बीच का पद \(-2\cdot p\cdot5q=-10pq\) है। परीक्षा में (5q) का वर्ग \(25q^2\) लिखें।

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Question 13/14 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 66

\( 48^2 \) को ( (50-2)2 ) से निकालने पर मान क्या है?

Using ( (50-2)2 ), what is \( 48^2 \)?

Explanation opens after your attempt
Correct Answer

C. (2304)

Step 1

Concept

(2500-200+4=2304). Exam tip: the final \(b^2\) is always added.

Step 2

Why this answer is correct

The correct answer is C. (2304). (2500-200+4=2304). Exam tip: the final \(b^2\) is always added.

Step 3

Exam Tip

(2500-200+4=2304) होता है। परीक्षा में अंतिम \(b^2\) हमेशा जोड़ा जाता है।

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Question 14/14 Easy Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 65

\( 48^2 \) को किस रूप में लिखकर आसानी से निकाला जा सकता है?

Which form can be used to find \( 48^2 \) easily?

Explanation opens after your attempt
Correct Answer

A. ( (50-2)2 )

Step 1

Concept

Since (48=50-2), ( (50-2)2 ) is useful. Exam tip: write it using a nearby larger number.

Step 2

Why this answer is correct

The correct answer is A. ( (50-2)2 ). Since (48=50-2), ( (50-2)2 ) is useful. Exam tip: write it using a nearby larger number.

Step 3

Exam Tip

(48=50-2) इसलिए ( (50-2)2 ) उपयोगी है। परीक्षा में निकट बड़ी संख्या से घटाकर लिखें।

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